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Finding the Fourth Proportional to 4,833.42, 7,249.41 and 1,546.17

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Solution

The fourth proportional to 4,833.42, 7,249.41 and 1,546.17 is: 2,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.42 : 7,249.41 = 1,546.17 : x
  2. Step 2: Convert to fraction form
    4,833.42/7,249.41 = 1,546.17/x
  3. Step 3: Cross multiply
    4,833.42x = 7,249.41 × 1,546.17
  4. Step 4: Simplify right side
    4,833.42x = 11,208,820.26
  5. Step 5: Solve for x
    x = 11,208,820.26/4,833.42
  6. Step 6: Final answer
    x = 2,319.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.